Finding the Third Proportional to 50,101 and 78,020

Step by Step Solution

1. Step 1: Write the proportion equation
   50,101 : 78,020 = 78,020 : x
2. Step 2: Convert to fraction form
   50,101/78,020 = 78,020/x
3. Step 3: Cross multiply
   50,101x = 78,020 × 78,020
4. Step 4: Simplify right side
   50,101x = 6,087,120,400
5. Step 5: Solve for x
   x = 6,087,120,400/50,101
6. Step 6: Final answer
   x = 121,496.98